have you looked at your engine to see where your alternator is located at? Does it look like there is room to get it out of the area where it is located at? Without looking at the alternator's location myself, there are some vehicles that you remove the axle to allow enough space to get the alternator out.

that being said, there is an engine roll restricter that can be unbolted. with the transmission in neutral, that will allow the engine to be pulled (rolled) forward and would allow the alternator to come out through the top.